A baker earns 15¢ profit per glazed doughnut g, and 40¢ profit per jelly doughnut j. If a customer wants to buy no more than a dozen doughnuts and wants to try at least one of each kind, what is the maximum profit the baker can earn?
Choose one answer.
a. $4.55
b. $4.80
c. $3.30
d. $1.80

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A baker earns 15¢ profit per glazed doughnut g, and 40¢ profit per jelly doughnut j. If a customer wants to buy no more than a dozen doughnuts and wants to try at least one of each kind, what is the maximum profit the baker can earn?
Choose one answer.
a. $4.55
b. $4.80
c. $3.30
d. $1.80

Mathematics

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More answers

Okay, this guy earn 15 cents for every glazed donut (g) sold, that could be reprensented as 15g, is this part okay?

anonymous

5 years ago

yes i understand tht so far

zepp

5 years ago

Great! :)
Now, this man doesn't only sell glazed donuts, he also sells jelly, j, and he earns 40 cents of profits per jelly donut, we can write that as 40j, that's cool too?

anonymous

5 years ago

yes i got tht too!

zepp

5 years ago

Good! So what this guy is making would be the profit of these two sweets, hence Profit = 15g+40j

anonymous

5 years ago

ohk got tht so i add those?

zepp

5 years ago

Yes

zepp

5 years ago

Now you are asked to get the maximum profit, if the person buy a dozen of donuts, 12, although he wants to eat at LEAST one of them.

zepp

5 years ago

but also wants max profits, therefore put 1 donuts of the cheapest, and 11 donuts of the most expensive, is that part clear?

anonymous

5 years ago

no lol uhm ohk so i multiply 12 by 15? since he gets 15 cents for every doughnut he sells?

zepp

5 years ago

No, the customer wants to taste at least of one the donuts, but ALSO make the most profits possible.

anonymous

5 years ago

soo confusing so i use 11 not 12?

anonymous

5 years ago

i hope im not annoying u sorry if i am i juss dnt get it.

zepp

5 years ago

So put 1 donuts of the cheapest, so he can taste to at least one of each
and the rest on the most expensive
g is the cheapest, put 1 of g
j is the most expensive, put 11 of j;
1+11=12 :D
No worries! OpenStudy is a place to learn, the most important is to tell us what you don't understand :)

anonymous

5 years ago

ohk so he made one donut cheap so he can eat it nd raised the price on the other 11 so he can still make the same amount of money as if he sold 12?

zepp

5 years ago

Well he wants to make the most profits, exact?

anonymous

5 years ago

so he wants to make more than wat he wud have?

zepp

5 years ago

No no, do you agree with the statement above?

anonymous

5 years ago

i guess so

anonymous

5 years ago

yes

zepp

5 years ago

Good, so the best way for him to make the maximum profit when a customer buy a dozen of donuts(12) is hope they buy 12 of the most expensive, true?

anonymous

5 years ago

yes

zepp

5 years ago

but the customer wants to eat at LEAST one of EACH, and the seller wants to make the MOST profit, if he only put 1 donut of the cheapest, does it satisfies the situation?

anonymous

5 years ago

yes it does

zepp

5 years ago

So he should sell 1 of the cheapest, and 11 of the most expensive (that makes a dozen) so he can make the maximum profit he can get, letting the customer tastes to at least one of each, do you follow me?

anonymous

5 years ago

so hes taking one of each of the expensive donuts nd making them cheaper so tht the customers can try one of each nd he still will make the most profit

zepp

5 years ago

so g=1 and j=11 :)

anonymous

5 years ago

yes ohk now wat do i do with those?

zepp

5 years ago

You plug them in the equation we computed above :D
Profit = 15g+40j :D

anonymous

5 years ago

ohk 15*1+40*11?

zepp

5 years ago

Excellent! :D
Good job :)

zepp

5 years ago

And remember those are cents, you have to transform them into dollars to get your answer :)